Metric and normed space foundations

[239/37%]

Subtopics

Checking norm axioms on function and sequence spaces[40/33%]
Checking the metric axioms[40/25%]
Vector norms on R^n and C^n[33/58%]
Norms, distances and convergence in concrete spaces[29/45%]
Balls in metric and normed spaces[28/39%]
Convergent and Cauchy sequences in normed spaces[12/42%]
Continuity of the norm, the distance and the linear operations[11/9%]
Metrics induced by norms and inner products[10/30%]
Linear subspaces of normed spaces[9/67%]
Open and closed sets in normed spaces[9/33%]
Bounded sets in metric and normed spaces[8/38%]
Chebyshev centers and Chebyshev radius[6/17%]
Isometric embeddings of metric spaces[6/0%]
Consequences of the triangle inequality[4/25%]